math.cube on complex, real part

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.3s (16.3%)

Memory
13.7MiB live, 711.0MiB allocated
Samples
902.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 592.0ms
ival-mult: 388.0ms (65.5% of total)
ival-sub: 139.0ms (23.5% of total)
ival-add: 57.0ms (9.6% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain505.0ms (6.4%)

Memory
-20.6MiB live, 294.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
180-0-(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
120-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
00-0-(*.f64 x.re x.im)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)n*o200
-.f64(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))nan-rescue180
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)overflow114
↳(*.f64 x.re x.re)overflow69
↳(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow116
↳(*.f64 x.im x.im)overflow59
↳(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)overflow55
↳(*.f64 x.im x.re)overflow25
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow25
↳(*.f64 x.re x.im)overflow25
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue120
↳(*.f64 x.re x.re)overflow69
↳(*.f64 x.im x.im)overflow59
Confusion
Predicted +Predicted -
+460
-0210
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4600
-00210
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0210
142
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
155.0ms512×0valid
Compiler

Compiled 283 to 59 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 78.0ms (91.2% of total)
ival-sub: 4.0ms (4.7% of total)
ival-add: 2.0ms (2.3% of total)
ival-true: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess484.0ms (6.1%)

Memory
1.4MiB live, 216.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031107
110689
230885
3126755
4319055
5516655
6621855
7653655
8679155
9688655
10690355
11782555
01119
02019
13817
28017
323611
466611
5213711
6428811
7631611
8739911
9772211
10776111
11776111
0805210
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.3%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify250.0ms (3.2%)

Memory
-6.2MiB live, 222.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01165
02065
13859
28059
323653
466653
5213753
6428853
7631653
8739953
9772253
10776153
11776153
0805252
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize45.0ms (0.6%)

Memory
6.2MiB live, 44.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy2.804670986641647
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy3.6796875000000004
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy4.784820921528833
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
Samples
20.0ms256×0valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (74.2% of total)
ival-sub: 2.0ms (16.5% of total)
ival-add: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
6 → 22
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* 2 (* (pow x.im 2) x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x.re
@inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms
x.re
@0
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms
x.re
@-inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.im
@0
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.im
@inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify122.0ms (1.5%)

Memory
5.8MiB live, 160.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056190
1169170
2519170
32113170
45800170
08265165
Stop Event
1×iter limit
1×node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* 2 (* (pow x.im 2) x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
Outputs
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)

rewrite373.0ms (4.7%)

Memory
-176.7MiB live, 110.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
02054
18342
057241
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
6 → 96
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.re (+.f64 x.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (neg.f64 (*.f64 x.im x.re)) (neg.f64 (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(+.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re))
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re)
(*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 (neg.f64 x.im) x.im)))
(+.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 (neg.f64 x.im) x.im)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64))) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (*.f64 x.im x.re) x.im (*.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.im (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (*.f64 (*.f64 x.im x.re) x.im) (*.f64 (*.f64 x.im x.re) x.im))
(+.f64 (*.f64 x.im (*.f64 x.im x.re)) (*.f64 x.im (*.f64 x.im x.re)))

eval9.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Compiler

Compiled 2 642 to 356 computations (86.5% saved)

prune20.0ms (0.3%)

Memory
-25.5MiB live, 13.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107
Accuracy
98.4%
Counts
107 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.1%
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶33.3%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
▶82.3%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
35.3%
(-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
64.9%
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
56.0%
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶87.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶48.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
Compiler

Compiled 412 to 246 computations (40.3% saved)

simplify147.0ms (1.9%)

Memory
37.3MiB live, 191.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff192
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
cost-diff832
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
cost-diff14272
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
cost-diff0
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff0
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff448
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff832
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 (*.f64 x.im x.im) x.re)
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
cost-diff0
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050390
080326
1155320
2355320
31845310
46533310
08370309
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
x.re
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(pow.f64 x.im #s(literal 4 binary64))
x.im
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im)
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
x.re
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x.im x.im) (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))) x.re)
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re)
(*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(pow.f64 x.im #s(literal 4 binary64))
x.im
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))

localize167.0ms (2.1%)

Memory
-2.9MiB live, 238.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.804670986641647
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy3.6796875000000004
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
accuracy4.784820921528833
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy38.142338741861245
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
accuracy3.6796875000000004
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy4.784820921528833
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re)
accuracy6.437473165792676
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy44.26286714537836
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy0.13671875
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy2.804670986641647
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy3.6796875000000004
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy4.784820921528833
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy0
(*.f64 x.im x.im)
accuracy0.2109375
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
accuracy9.966360166580571
(*.f64 (*.f64 x.im x.im) x.re)
accuracy28.00799551837841
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
accuracy0
(*.f64 x.im x.im)
accuracy0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy2.847639736641647
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
accuracy4.791773612072696
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
Samples
133.0ms256×0valid
Compiler

Compiled 769 to 93 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 79.0ms (72.6% of total)
ival-add: 10.0ms (9.2% of total)
ival-pow: 7.0ms (6.4% of total)
ival-sub: 6.0ms (5.5% of total)
ival-div: 3.0ms (2.8% of total)
ival-pow2: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
-23.5MiB live, 53.7MiB allocated
Counts
20 → 43
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 x.im x.im) x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re x.re)
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) x.re)
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* 2 (* (pow x.im 2) x.re))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x.im
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) x.im)) (+ 0 (pow (* x.im x.re) 2)) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (pow x.im 4)))
7.0ms
x.re
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) x.im)) (+ 0 (pow (* x.im x.re) 2)) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.re
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) x.im)) (+ 0 (pow (* x.im x.re) 2)) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.re
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) x.im)) (+ 0 (pow (* x.im x.re) 2)) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (pow x.im 4)))
3.0ms
x.im
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (* 2 (pow (* x.im x.re) 3)) (/ 1 (+ 0 (pow (* x.im x.re) 2)))) x.im)) (+ 0 (pow (* x.im x.re) 2)) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (pow x.im 4)))

simplify165.0ms (2.1%)

Memory
22.5MiB live, 229.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101400
1302352
2894352
33346352
08222336
Stop Event
1×iter limit
1×node limit
Counts
43 → 43
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) x.re)
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* 2 (* (pow x.im 2) x.re))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(* (pow x.im 2) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* (pow x.im 2) (pow x.re 2))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) x.re)
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(- (pow x.re 4) (pow x.im 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))

rewrite309.0ms (3.9%)

Memory
-16.8MiB live, 531.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050256
080205
1328173
22091163
08378163
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 3 406
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 x.im x.im) x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re x.re)
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 x.re (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.re)) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.f64 (*.f64 x.re (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.re) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))
(/.f64 (*.f64 x.re (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(fma.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (-.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 x.im (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
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(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
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(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 x.im x.im)
(pow.f64 (*.f64 x.im x.im) #s(literal 1 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im x.im))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 8 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (pow.f64 x.im #s(literal 12 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 (*.f64 x.im x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))

eval163.0ms (2.1%)

Memory
9.7MiB live, 352.6MiB allocated
Compiler

Compiled 63 324 to 4 775 computations (92.5% saved)

prune48.0ms (0.6%)

Memory
24.4MiB live, 142.5MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1 48791 496
Fresh303
Picked325
Done000
Total1 493111 504
Accuracy
100.0%
Counts
1 504 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(fma.f64 (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal -2 binary64)) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
▶85.5%
(-.f64 (/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶41.5%
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
▶92.7%
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
56.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓87.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
48.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶56.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
56.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
▶56.0%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
✓48.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
Compiler

Compiled 463 to 281 computations (39.3% saved)

simplify170.0ms (2.2%)

Memory
-18.3MiB live, 180.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
cost-diff0
(pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))
cost-diff832
(-.f64 (/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff6848
(/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64)))
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(-.f64 x.re x.im)
cost-diff0
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
cost-diff320
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 #s(literal -3 binary64) x.im)
cost-diff0
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 (*.f64 x.im x.re) x.im)
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
cost-diff0
(*.f64 (-.f64 x.re x.im) x.re)
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
cost-diff832
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035242
054234
1119226
2253224
3683208
41997208
56190208
08209203
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.re)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.im
(*.f64 x.im x.re)
x.re
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.im x.re)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(-.f64 (/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64)))
x.re
(pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(-.f64 x.re x.im)
x.im
(+.f64 x.im x.re)
#s(literal -1 binary64)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
Outputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.re)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 x.im x.im))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im)
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re)
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 (*.f64 x.re x.im) x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.im
(*.f64 x.im x.re)
(*.f64 x.re x.im)
x.re
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 #s(literal -2 binary64) x.im) x.im (*.f64 x.re x.re))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.im x.re)
(+.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(-.f64 (/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))
x.re
(pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
x.im
(+.f64 x.im x.re)
(+.f64 x.re x.im)
#s(literal -1 binary64)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 x.im x.im))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im)
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)

localize111.0ms (1.4%)

Memory
-18.7MiB live, 201.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy0.7009299157196686
(pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))
accuracy3.6796875000000004
(-.f64 (/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy4.528998287757798
(/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64)))
accuracy0
(+.f64 x.im x.re)
accuracy0
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
accuracy0
(*.f64 #s(literal 2 binary64) x.im)
accuracy0.00390625
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
accuracy0
(*.f64 x.im x.re)
accuracy0
(*.f64 #s(literal -3 binary64) x.im)
accuracy0.234375
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
accuracy28.00799551837841
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
accuracy0
(*.f64 x.im x.re)
accuracy0.13671875
(*.f64 (*.f64 x.im x.re) x.im)
accuracy0.2109375
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
accuracy28.00799551837841
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
accuracy0.00390625
(*.f64 (-.f64 x.re x.im) x.re)
accuracy0.11328125
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
accuracy0.13671875
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy3.6796875000000004
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
Samples
66.0ms256×0valid
Compiler

Compiled 470 to 69 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 26.0ms (60.9% of total)
ival-sub: 6.0ms (14% of total)
ival-add: 4.0ms (9.4% of total)
ival-pow: 4.0ms (9.4% of total)
ival-div: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
2.0MiB live, 40.8MiB allocated
Counts
19 → 99
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(+.f64 x.im x.re)
(*.f64 (-.f64 x.re x.im) x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(*.f64 #s(literal -3 binary64) x.im)
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(-.f64 x.re x.im)
(/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64)))
(-.f64 (/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 #s(literal 2 binary64) x.im)
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
x.im
(+ x.im x.re)
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* x.im x.re)
(- (* -1 (pow x.im 2)) (* 2 x.im))
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 x.im))
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 x.im))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
(* -1 x.im)
(- x.re x.im)
(/ -1 (pow x.im 2))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(* 2 (* (pow x.im 2) x.re))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ x.im (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(/ 1 (pow x.re 2))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (- (* -1 (pow x.im 2)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 x.im)
(+ (* x.im (- (+ x.re (* -1 x.re)) 2)) (pow x.re 2))
(+ (* x.im (- (+ x.re (+ (* -1 x.im) (* -1 x.re))) 2)) (pow x.re 2))
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(+ x.re (* -1 x.im))
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(* 2 x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) (+ 1 (* 2 (/ 1 x.im)))))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ 1 x.im)))))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (- (/ x.re x.im) 1))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (* -1 x.re))) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x.im
@-inf
((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.im x.re)) (* -3 x.im) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (* (* x.re (+ x.im x.im)) x.im) (* 2 x.im))
3.0ms
x.im
@inf
((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.im x.re)) (* -3 x.im) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (* (* x.re (+ x.im x.im)) x.im) (* 2 x.im))
3.0ms
x.re
@-inf
((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.im x.re)) (* -3 x.im) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (* (* x.re (+ x.im x.im)) x.im) (* 2 x.im))
3.0ms
x.re
@inf
((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.im x.re)) (* -3 x.im) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (* (* x.re (+ x.im x.im)) x.im) (* 2 x.im))
3.0ms
x.re
@0
((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.im x.re)) (* -3 x.im) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (* (* x.re (+ x.im x.im)) x.im) (* 2 x.im))

simplify108.0ms (1.4%)

Memory
12.9MiB live, 169.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03631284
11158984
24388899
08148867
Stop Event
1×iter limit
1×node limit
Counts
99 → 97
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
x.im
(+ x.im x.re)
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* x.im x.re)
(- (* -1 (pow x.im 2)) (* 2 x.im))
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 x.im))
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 x.im))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
(* -1 x.im)
(- x.re x.im)
(/ -1 (pow x.im 2))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(* 2 (* (pow x.im 2) x.re))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ x.im (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(/ 1 (pow x.re 2))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (- (* -1 (pow x.im 2)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 x.im)
(+ (* x.im (- (+ x.re (* -1 x.re)) 2)) (pow x.re 2))
(+ (* x.im (- (+ x.re (+ (* -1 x.im) (* -1 x.re))) 2)) (pow x.re 2))
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(+ x.re (* -1 x.im))
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(* 2 x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) (+ 1 (* 2 (/ 1 x.im)))))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ 1 x.im)))))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (- (/ x.re x.im) 1))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (* -1 x.re))) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
x.im
(+ x.im x.re)
(+.f64 x.re x.im)
(* -1 (* x.im x.re))
(*.f64 (neg.f64 x.im) x.re)
(* x.re (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
(* -3 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(- (* -1 (pow x.im 2)) (* 2 x.im))
(*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im)
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 x.im))
(*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im)
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 x.im))
(fma.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im (*.f64 x.re x.re))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(* -1 x.im)
(neg.f64 x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(/ -1 (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (*.f64 x.im (/.f64 (/.f64 x.im x.re) x.re)) #s(literal -3 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 (*.f64 x.im (/.f64 (/.f64 x.im x.re) x.re)) #s(literal -3 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(*.f64 x.re x.re)
(* (pow x.re 2) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ x.im (pow x.re 2)))))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im) x.re) x.re) x.re x.re))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 3 binary64))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (*.f64 x.im (/.f64 (/.f64 x.im x.re) x.re)) #s(literal -3 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 (*.f64 x.im (/.f64 (/.f64 x.im x.re) x.re)) #s(literal -3 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (- (* -1 (pow x.im 2)) (* 2 x.im)) x.re))) x.re))))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im) x.re) x.re) x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(* -1 (* x.re (- (/ x.im x.re) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(pow.f64 x.re #s(literal 3 binary64))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 (-.f64 x.re x.im) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(+ (* x.im (- (+ x.re (* -1 x.re)) 2)) (pow x.re 2))
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
(+ (* x.im (- (+ x.re (+ (* -1 x.im) (* -1 x.re))) 2)) (pow x.re 2))
(fma.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im (*.f64 x.re x.re))
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))
(*.f64 x.re x.re)
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(fma.f64 (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(* 2 x.im)
(*.f64 #s(literal 2 binary64) x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) x.im) x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) (+ 1 (* 2 (/ 1 x.im)))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ 1 x.im)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (-.f64 (/.f64 #s(literal -2 binary64) x.im) #s(literal 1 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* x.im (- (/ x.re x.im) 1))
(fma.f64 (/.f64 x.re x.im) x.im (neg.f64 x.im))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) x.im) x.im)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im)
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (* -1 x.re))) x.im)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) x.im)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) #s(literal -2 binary64)) x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(fma.f64 (/.f64 x.re x.im) x.im (neg.f64 x.im))
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)

rewrite310.0ms (3.9%)

Memory
5.4MiB live, 483.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035183
054179
1244155
21834155
08347150
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 2 263
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(+.f64 x.im x.re)
(*.f64 (-.f64 x.re x.im) x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(*.f64 #s(literal -3 binary64) x.im)
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(-.f64 x.re x.im)
(/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64)))
(-.f64 (/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 #s(literal 2 binary64) x.im)
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x.im))) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) (fma.f64 #s(literal -2 binary64) x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) x.re) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) (fma.f64 #s(literal -2 binary64) x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x.im)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x.im)) (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) (fma.f64 #s(literal -2 binary64) x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)))
(*.f64 x.re (fma.f64 #s(literal -2 binary64) x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im)) #s(literal -1 binary64)) #s(literal -1 binary64))
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(fma.f64 (*.f64 #s(literal -2 binary64) x.im) (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 #s(literal -2 binary64) x.im) (*.f64 x.im x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 #s(literal -2 binary64) x.im) (*.f64 x.re x.re) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.re (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.im (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 #s(literal 2 binary64) (neg.f64 x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 #s(literal 2 binary64) (*.f64 x.im x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 #s(literal 2 binary64) x.im (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 x.re x.im) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 (*.f64 x.re x.im) x.im))
(fma.f64 (*.f64 x.im x.im) (pow.f64 (*.f64 #s(literal 2 binary64) x.re) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 x.im x.im) (pow.f64 (+.f64 x.re x.re) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 x.im x.im) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 x.im x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 (*.f64 x.im x.im) x.re (*.f64 (*.f64 x.re x.im) x.im))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 x.re (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 x.re (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.im) x.im))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im (*.f64 #s(literal 2 binary64) x.re) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 x.im #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 x.im (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 x.im #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x.im))
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 (*.f64 x.re x.im) x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.im x.im)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x.im))
(exp.f64 (fma.f64 (log.f64 x.re) #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) x.im))))
(exp.f64 (fma.f64 (log.f64 x.im) #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) x.im))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) x.im)) (*.f64 (log.f64 x.im) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x.im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x.im)) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) x.im)))
(+.f64 (neg.f64 (*.f64 x.re x.im)) (neg.f64 (*.f64 x.re x.im)))
(+.f64 (neg.f64 x.im) (neg.f64 x.im))
(+.f64 (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(literal -2 binary64) x.im))
(+.f64 (*.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re x.im) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(+.f64 x.im x.im)

eval312.0ms (4%)

Memory
24.6MiB live, 607.0MiB allocated
Compiler

Compiled 64 796 to 5 748 computations (91.1% saved)

prune53.0ms (0.7%)

Memory
-17.3MiB live, 141.4MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New2 443102 453
Fresh224
Picked415
Done022
Total2 449152 464
Accuracy
100.0%
Counts
2 464 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.7%
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
46.5%
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
65.7%
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
64.9%
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶48.8%
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
89.1%
(-.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
56.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓87.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶48.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
✓56.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
✓48.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
56.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
▶28.9%
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
16.7%
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im))
▶36.5%
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
Compiler

Compiled 630 to 383 computations (39.2% saved)

simplify218.0ms (2.8%)

Memory
41.8MiB live, 232.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
cost-diff0
#s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
cost-diff0
(/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
cost-diff128
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
cost-diff0
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
cost-diff0
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
cost-diff0
(*.f64 #s(literal -2 binary64) x.im)
cost-diff0
(*.f64 x.re x.im)
cost-diff704
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043222
061220
1131217
2291213
3794205
42243205
56366205
08551200
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 #s(literal -2 binary64) x.im)
#s(literal -2 binary64)
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.re (+.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
#s(literal -2 binary64)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
x.re
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
x.re
#s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
#s(literal -1 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
Outputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.re
x.im
(*.f64 #s(literal -2 binary64) x.im)
#s(literal -2 binary64)
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))
(*.f64 x.re (+.f64 x.re x.im))
(*.f64 (+.f64 x.im x.re) x.re)
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(-.f64 x.re x.im)
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
#s(literal -2 binary64)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
x.re
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 x.im x.im) (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))))
(/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
x.re
#s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
#s(literal -1 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)

localize140.0ms (1.8%)

Memory
-55.6MiB live, 171.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.29725974691100787
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
accuracy3.6796875000000004
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy4.528998287757798
(/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
accuracy28.8337599057552
#s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
accuracy0
(*.f64 x.im x.im)
accuracy0.1171875
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
accuracy9.99367410342985
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
accuracy28.00799551837841
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
accuracy0
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
accuracy0
(*.f64 x.re x.re)
accuracy23.69104512465118
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
accuracy0
(*.f64 x.re x.re)
accuracy35.57426357076436
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
accuracy0
(*.f64 #s(literal -2 binary64) x.im)
accuracy0.00390625
(*.f64 x.re (+.f64 x.re x.im))
accuracy0.11328125
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
accuracy2.6640625000000004
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
Samples
113.0ms256×0valid
Compiler

Compiled 411 to 82 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 46.0ms (67.1% of total)
ival-add: 9.0ms (13.1% of total)
ival-sub: 5.0ms (7.3% of total)
ival-pow: 4.0ms (5.8% of total)
ival-div: 3.0ms (4.4% of total)
exact: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
25.2MiB live, 25.2MiB allocated
Counts
17 → 88
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 x.re x.im)
(*.f64 #s(literal -2 binary64) x.im)
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
#s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(*.f64 x.re (+.f64 x.re x.im))
Outputs
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(* x.im x.re)
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(- (* -1 (pow x.im 2)) (* 2 x.im))
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 x.im))
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 x.im))
(pow x.re 2)
(* -2 x.im)
(+ (* -2 x.im) (pow x.re 2))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(/ -1 (pow x.im 2))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(* x.re (+ x.im x.re))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ x.im (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -2 (/ x.im (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(/ 1 (pow x.re 2))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (- (* -1 (pow x.im 2)) (* 2 x.im)) x.re))) x.re))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (- (+ x.re (* -1 x.re)) 2)) (pow x.re 2))
(+ (* x.im (- (+ x.re (+ (* -1 x.im) (* -1 x.re))) 2)) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 (pow x.im 2))
(pow x.im 2)
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(+ (* x.im x.re) (pow x.re 2))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) (+ 1 (* 2 (/ 1 x.im)))))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ 1 x.im)))))
(* x.im (- (/ (pow x.re 2) x.im) 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (* -1 x.re))) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) x.im)) 1))
(* -1 (* x.im (+ 2 (* -1 (/ (pow x.re 2) x.im)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x.im
@0
((+ (* (* x.re x.im) (* -2 x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im))) (* x.re x.im) (* -2 x.im) (* (* x.re (+ x.re x.im)) (- x.re x.im)) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* x.re x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (+ (* -2 x.im) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/ -1 (* x.im x.im)) (* x.re (+ x.re x.im)))
2.0ms
x.im
@inf
((+ (* (* x.re x.im) (* -2 x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im))) (* x.re x.im) (* -2 x.im) (* (* x.re (+ x.re x.im)) (- x.re x.im)) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* x.re x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (+ (* -2 x.im) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/ -1 (* x.im x.im)) (* x.re (+ x.re x.im)))
2.0ms
x.im
@-inf
((+ (* (* x.re x.im) (* -2 x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im))) (* x.re x.im) (* -2 x.im) (* (* x.re (+ x.re x.im)) (- x.re x.im)) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* x.re x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (+ (* -2 x.im) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/ -1 (* x.im x.im)) (* x.re (+ x.re x.im)))
2.0ms
x.re
@-inf
((+ (* (* x.re x.im) (* -2 x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im))) (* x.re x.im) (* -2 x.im) (* (* x.re (+ x.re x.im)) (- x.re x.im)) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* x.re x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (+ (* -2 x.im) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/ -1 (* x.im x.im)) (* x.re (+ x.re x.im)))
2.0ms
x.re
@inf
((+ (* (* x.re x.im) (* -2 x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im))) (* x.re x.im) (* -2 x.im) (* (* x.re (+ x.re x.im)) (- x.re x.im)) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (* x.re x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (+ (* -2 x.im) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (* (* x.re (+ x.im x.im)) x.im)) (/ x.re (pow (* (- x.re x.im) (+ x.im x.re)) -1)) (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/ -1 (* x.im x.im)) (* x.re (+ x.re x.im)))

simplify104.0ms (1.3%)

Memory
4.6MiB live, 121.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03661270
111601012
24406891
08228852
Stop Event
1×iter limit
1×node limit
Counts
88 → 88
Calls
Call 1
Inputs
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(* x.im x.re)
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(- (* -1 (pow x.im 2)) (* 2 x.im))
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 x.im))
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 x.im))
(pow x.re 2)
(* -2 x.im)
(+ (* -2 x.im) (pow x.re 2))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(/ -1 (pow x.im 2))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(* x.re (+ x.im x.re))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ x.im (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -2 (/ x.im (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(/ 1 (pow x.re 2))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (- (* -1 (pow x.im 2)) (* 2 x.im)) x.re))) x.re))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (- (+ x.re (* -1 x.re)) 2)) (pow x.re 2))
(+ (* x.im (- (+ x.re (+ (* -1 x.im) (* -1 x.re))) 2)) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 (pow x.im 2))
(pow x.im 2)
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(+ (* x.im x.re) (pow x.re 2))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) (+ 1 (* 2 (/ 1 x.im)))))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ 1 x.im)))))
(* x.im (- (/ (pow x.re 2) x.im) 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (* -1 x.re))) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) x.im)) 1))
(* -1 (* x.im (+ 2 (* -1 (/ (pow x.re 2) x.im)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
Outputs
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(* x.im x.re)
(*.f64 x.im x.re)
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(fma.f64 (*.f64 (neg.f64 x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(- (* -1 (pow x.im 2)) (* 2 x.im))
(*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im)
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 x.im))
(*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im)
(- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 x.im))
(fma.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* -2 x.im)
(*.f64 #s(literal -2 binary64) x.im)
(+ (* -2 x.im) (pow x.re 2))
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(/ -1 (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) (neg.f64 x.im))
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(* x.re (+ x.im x.re))
(*.f64 (+.f64 x.im x.re) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(*.f64 x.re x.re)
(* (pow x.re 2) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ x.im (pow x.re 2)))))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im) x.re) x.re) x.re x.re))
(* (pow x.re 2) (+ 1 (* -2 (/ x.im (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) #s(literal -2 binary64) #s(literal 1 binary64)) x.re) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 3 binary64))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (- (* -1 (pow x.im 2)) (* 2 x.im)) x.re))) x.re))))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im) x.re) x.re) x.re x.re))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(pow.f64 x.re #s(literal 3 binary64))
(+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(fma.f64 (*.f64 (neg.f64 x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(+ (* x.im (- (+ x.re (* -1 x.re)) 2)) (pow x.re 2))
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
(+ (* x.im (- (+ x.re (+ (* -1 x.im) (* -1 x.re))) 2)) (pow x.re 2))
(fma.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im (*.f64 x.re x.re))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(fma.f64 (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(+ (* x.im x.re) (pow x.re 2))
(*.f64 (+.f64 x.im x.re) x.re)
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) (+ 1 (* 2 (/ 1 x.im)))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ 1 x.im)))))
(*.f64 (-.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) #s(literal -2 binary64)) x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* x.im (- (/ (pow x.re 2) x.im) 2))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) #s(literal -2 binary64)) x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) (neg.f64 x.im))
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) (neg.f64 x.im))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (* -1 x.re))) x.im)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (* -1 (/ (+ 2 (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) x.im)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) #s(literal -2 binary64)) x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* -1 (* x.im (+ 2 (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) #s(literal -2 binary64)) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) (neg.f64 x.im))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) (neg.f64 x.im))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)

rewrite145.0ms (1.8%)

Memory
-12.2MiB live, 211.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043182
061180
1284165
22558151
08651145
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 266
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 x.re x.im)
(*.f64 #s(literal -2 binary64) x.im)
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
(fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
#s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(*.f64 x.re (+.f64 x.re x.im))
Outputs
(*.f64 (pow.f64 (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))))
(/.f64 (pow.f64 (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) #s(literal 0 binary64))))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x.re #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) #s(literal -1 binary64)) x.re #s(literal 0 binary64))
(fma.f64 (neg.f64 x.re) (pow.f64 (neg.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64))
(fma.f64 x.re (pow.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 2 binary64)) (-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64)) (pow.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64)) (pow.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))))
(+.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x.re #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) #s(literal -1 binary64)) x.re)
(*.f64 (neg.f64 x.re) (pow.f64 (neg.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))))
(*.f64 x.re (pow.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) x.re) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x.re))) (neg.f64 (neg.f64 (neg.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (*.f64 x.re #s(literal 1 binary64))) (neg.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))))))
(/.f64 (*.f64 x.re #s(literal 1 binary64)) #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))))
(/.f64 (neg.f64 x.re) (neg.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) (*.f64 x.re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) x.re))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) x.re)))
(/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))))
(neg.f64 (/.f64 (neg.f64 x.re) #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))))
(neg.f64 (/.f64 x.re (neg.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))) (/.f64 x.re (neg.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64)))) x.re)) #s(literal -1 binary64)))
#s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))
(*.f64 (pow.f64 x.im #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x.im))
(*.f64 (/.f64 #s(literal -1 binary64) x.im) (pow.f64 x.im #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x.im #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal -2 binary64)))
(pow.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x.im))) (neg.f64 (neg.f64 x.im)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x.im)) (neg.f64 x.im))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) x.im)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x.im) x.im))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x.im) x.im))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 x.im) x.im)))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(neg.f64 (pow.f64 x.im #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x.im) x.im)) #s(literal -1 binary64)))
(*.f64 (+.f64 x.im x.re) x.re)
(*.f64 x.re (+.f64 x.im x.re))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) x.re)) (neg.f64 (-.f64 x.im x.re)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) (neg.f64 (-.f64 x.im x.re)))
(/.f64 (neg.f64 (*.f64 x.re (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im x.re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 x.re x.im) x.re)))
(/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) x.re) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) x.re) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(/.f64 (*.f64 x.re (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (-.f64 x.re x.im) x.re))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))) (neg.f64 (-.f64 x.re x.im)))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.im x.re) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.im x.re) (*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) (*.f64 x.re (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x.re x.im) x.re) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im x.re)))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re x.im) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) (-.f64 x.re x.im))
(fma.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 x.re)) (*.f64 x.im x.re))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (*.f64 x.im x.re))
(fma.f64 x.im x.re (*.f64 x.re x.re))
(fma.f64 x.re x.im (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 (-.f64 x.re x.im) x.re)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.re))
(+.f64 (*.f64 x.im x.re) (*.f64 x.re x.re))

eval40.0ms (0.5%)

Memory
18.6MiB live, 66.7MiB allocated
Compiler

Compiled 10 257 to 1 132 computations (89% saved)

prune19.0ms (0.2%)

Memory
0.5MiB live, 38.9MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New3236329
Fresh437
Picked055
Done033
Total32717344
Accuracy
100.0%
Counts
344 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
✓94.7%
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
91.1%
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im)))
56.1%
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)))
65.7%
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
64.9%
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓48.8%
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
56.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓87.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
✓48.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
✓56.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
56.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
✓48.8%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
✓28.9%
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
22.6%
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im))
✓36.5%
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
4.4%
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
Compiler

Compiled 1 164 to 412 computations (64.6% saved)

regimes30.0ms (0.4%)

Memory
9.3MiB live, 47.9MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)))
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im)))
(-.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 (/.f64 x.re #s(approx (pow (* (- x.re x.im) (+ x.im x.re)) -1) (/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 x.re (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal -2 binary64)) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
Outputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
Calls

3 calls:

9.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
9.0ms
x.re
9.0ms
x.im
Results
AccuracySegmentsBranch
99.8%2x.re
98.2%2x.im
99.8%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes12.0ms (0.2%)

Memory
-17.1MiB live, 22.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)))
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
Outputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
Calls

2 calls:

6.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
6.0ms
x.re
Results
AccuracySegmentsBranch
99.7%2x.re
99.7%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes24.0ms (0.3%)

Memory
-17.5MiB live, 31.0MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
Calls

2 calls:

19.0ms
x.re
5.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
98.8%3x.re
99.3%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
Calls

3 calls:

4.0ms
x.re
4.0ms
x.im
4.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
76.9%2x.re
67.8%2x.im
77.8%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
Calls

1 calls:

3.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
77.8%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes9.0ms (0.1%)

Memory
-29.3MiB live, 9.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (fma.f64 #s(literal -1 binary64) x.im #s(literal -2 binary64)) x.im))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (fma.f64 #s(literal -2 binary64) x.im (*.f64 x.re x.re)))
Outputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im))
Calls

3 calls:

4.0ms
x.im
2.0ms
x.re
2.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
49.2%2x.im
47.0%3x.re
48.0%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
Outputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re))
Calls

3 calls:

2.0ms
x.im
2.0ms
x.re
1.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
36.5%1x.re
38.6%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
36.5%1x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
Outputs
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
Calls

3 calls:

1.0ms
x.im
1.0ms
x.re
1.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
4.4%1x.re
4.4%1x.im
4.4%1(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.23544558110418e+205
1.0937345647610824e+234
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.23544558110418e+205
1.0937345647610824e+234
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.455e-320
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.9202543881836405e-289
1.4610940630231457e-236
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.9202543881836405e-289
1.4610940630231457e-236
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch12.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
3.2196650071905804e+164
4.395243173093524e+165
Samples
7.0ms96×0valid
Compiler

Compiled 208 to 154 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (64.7% of total)
ival-sub: 1.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.7277379290067082e-180
-1.8705189012173257e-194
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify29.0ms (0.4%)

Memory
-5.7MiB live, 33.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079410
1115410
2147410
3170410
4182410
5185410
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 1200000000000000002140019938305502038174763710723616712528418333241554034173479442744562449591411553198522764434651738827725691752379543481445038199030761368873598976 binary64)) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -583992399055641/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im))) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))
Outputs
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) (fma.f64 (*.f64 x.im x.re) (*.f64 #s(literal -2 binary64) x.im) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (+.f64 x.im x.im) x.re) x.im)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im)) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 1200000000000000002140019938305502038174763710723616712528418333241554034173479442744562449591411553198522764434651738827725691752379543481445038199030761368873598976 binary64)) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 (neg.f64 x.im) x.im)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -583992399055641/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im))) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal -583992399055641/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im))) #s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) (*.f64 x.re x.re)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* 2 x.im)) #s(approx (+ (* -2 x.im) (* x.re x.re)) (*.f64 #s(literal -2 binary64) x.im)))

soundness1.7s (22.1%)

Memory
15.2MiB live, 643.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056190
1169170
2519170
32113170
45800170
08265165
03661270
111601012
24406891
08228852
043182
061180
1284165
22558151
08651145
035183
054179
1244155
21834155
08347150
03631284
11158984
24388899
08148867
050256
080205
1328173
22091163
08378163
01154
02054
18342
057241
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 145 to 434 computations (62.1% saved)

preprocess110.0ms (1.4%)

Memory
21.2MiB live, 213.8MiB allocated
Compiler

Compiled 1 084 to 288 computations (73.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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